13855968 has 192 divisors, whose sum is σ = 48384000. Its totient is φ = 3773952.

The previous prime is 13855951. The next prime is 13855979. The reversal of 13855968 is 86955831.

13855968 is a `hidden beast` number, since 1 + 38 + 559 + 68 = 666.

13855968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (259200) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175353 + ... + 175431.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^13855968 is an apocalyptic number.

13855968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

13855968 is an abundant number, since it is smaller than the sum of its proper divisors (34528032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13855968 is a wasteful number, since it uses less digits than its factorization.

13855968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 13855968 is about 3722.3605413769. The cubic root of 13855968 is about 240.1848575788.

The spelling of 13855968 in words is "thirteen million, eight hundred fifty-five thousand, nine hundred sixty-eight".